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Foundation November 2021 Unit 1 Q10

WJECFoundationCurrent spec5 marksAngles (Including Parallel Lines)Angles in Polygons

10.

(a) Calculate the size of angle \(x\) in the right-angled triangle shown below. [2]
Right-angled triangle with the right angle at the bottom left, 37 degrees at the bottom right and angle x at the top

Diagram not drawn to scale

(b) ABCD is a quadrilateral.
BE is a straight line.
Calculate the size of angles \(a\) and \(b\). [3]
Quadrilateral ABCD with angle C = 82 degrees, angle D = 153 degrees, angle b at B and angle a at A; the line BA continues to E and the angle DAE is 129 degrees

Diagram not drawn to scale

\(a =\) …………… °    \(b =\) …………… °

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